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82940484 = 2231117231607
BaseRepresentation
bin1001111000110…
…01001001000100
312210001210221210
410330121021010
5132213043414
612121411420
72024660664
oct474311104
9183053853
1082940484
11428aa460
1223939b70
131424c913
14b0301a4
157434e59
hex4f19244

82940484 has 96 divisors (see below), whose sum is σ = 233404416. Its totient is φ = 22612480.

The previous prime is 82940479. The next prime is 82940497. The reversal of 82940484 is 48404928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50809 + ... + 52415.

It is an arithmetic number, because the mean of its divisors is an integer number (2431296).

Almost surely, 282940484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82940484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116702208).

82940484 is an abundant number, since it is smaller than the sum of its proper divisors (150463932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82940484 is a wasteful number, since it uses less digits than its factorization.

82940484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 82940484 is about 9107.1666285404. The cubic root of 82940484 is about 436.1027799666.

It can be divided in two parts, 8 and 2940484, that added together give a palindrome (2940492).

The spelling of 82940484 in words is "eighty-two million, nine hundred forty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 253 276 374 391 506 561 748 759 782 1012 1122 1173 1518 1564 1607 2244 2346 3036 3214 4301 4692 4821 6428 8602 9642 12903 17204 17677 19284 25806 27319 35354 36961 51612 53031 54638 70708 73922 81957 106062 109276 110883 147844 163914 212124 221766 300509 327828 406571 443532 601018 628337 813142 901527 1202036 1219713 1256674 1626284 1803054 1885011 2439426 2513348 3606108 3770022 4878852 6911707 7540044 13823414 20735121 27646828 41470242 82940484